MCQ
Let $f(x) = \left\{ \begin{array}{l}\frac{1}{2},\;if\;0 \le x \le \frac{1}{2}\\\frac{1}{3},\;if\;\frac{1}{2} < x \le 1\end{array} \right.$, then $f$ is
- AA rational function
- BA trigonometric function
- ✓A step function
- DAn exponential function

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$ x+(\sqrt{2} \sin \alpha) y+(\sqrt{2} \cos \alpha) z=0 $
$ x+(\cos \alpha) y+(\sin \alpha) z=0 $
$ x+(\sin \alpha) y-(\cos \alpha) z=0$
has a non-trivial solution, then $\alpha \in\left(0, \frac{\pi}{2}\right)$ is equal to :